Question

The Area of a rectangular garden can be represented by the expression 15x 2 - 7x - 2. The length of the garden can be represented by 5x + 1. Write an expression that represents the perimeter of the garden.

Answer 1

16x-2

Explanation

Area of the garden = length × width

Substitute the given value

15x 2 - 7x - 2. = 5x+1 × width

Factorize the area

15x^2 - 7x - 2.

15x²-10x+3x -2 =0

5x(3x-2)+1(3x-2)

5x+1(3x-2)

Hence other side so be 3x-2

Perimeter = 2(L+W)

P = 2(5x+1+3x-2)

P = 2(8x-1)

P = 16x-2

Hence the expression that represents the Perimeter is 16x-2